I put forward (and this may have already come up) that the abstraction of a situation can be geometrically mapped, similar to the way a fractal is visualized.
An equation for infinite recursion:
Z <=> Z^2 + C
Where Z is a compex number (a + bi)
And C is some integer
In the case of Cuil theory, perhaps Z could represent a real situation, Z^2 could represent the degree of abstraction and C could represent additional parameters for abstraction.
Just something I thought about. Feedback?